248765004 has 72 divisors (see below), whose sum is σ = 644127120. Its totient is φ = 80925312.

The previous prime is 248764969. The next prime is 248765009. The reversal of 248765004 is 400567842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 248765004.

It is not an unprimeable number, because it can be changed into a prime (248765009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367114 + ... + 367790.

It is an arithmetic number, because the mean of its divisors is an integer number (8946210).

Almost surely, 2^248765004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248765004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322063560).

248765004 is an abundant number, since it is smaller than the sum of its proper divisors (395362116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248765004 is a wasteful number, since it uses less digits than its factorization.

248765004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 248765004 is about 15772.2859471923. The cubic root of 248765004 is about 628.9214804722.

The spelling of 248765004 in words is "two hundred forty-eight million, seven hundred sixty-five thousand, four".